Rolled oats is packaged in a right circular cylindrical container that has a radius of 6 centimeters and a height of 12 centimeters.


What is the surface area of this container in terms of pi?

Because y=20x in this table, the value of y is worth 20 times as much as the value of 11.

A feature's graph In a plane of the form (x, f(x)), all factors have the form f. As a side note, the graph of f may also be thought of as the graph of y = f. (x). Because of this, a feature's graph is a particular case in the graph of an equation.

To explain the graph's meaning and the measuring devices, an axis is a line drawn to the graph's aspect or backside. It is possible to provide information about what the graph shows by labeling the x-axis, the horizontal line at its lowest point.

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Answer:

[tex]\textsf{b.} \quad 3x+5y=2[/tex]

Step-by-step explanation:

Define the given points:

[tex]\textsf{let}\:(x_1,y_1)=(4,-2)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(-1,1)[/tex]

Use the slope formula to determine the slope of the line:

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-(-2)}{-1-4}=\dfrac{1+2}{-1-4}=-\dfrac{3}{5}[/tex]

Use the point-slope formula to determine the equation of the line.

[tex]\implies y-y_1=m(x-x_1)[/tex]

Substitute the found slope and point (4, -2):

[tex]\implies y-(-2)=-\dfrac{3}{5}(x-4)[/tex]

[tex]\implies y+2=-\dfrac{3}{5}(x-4)[/tex]

Multiply both sides by 5:

[tex]\implies 5(y+2)=-3(x-4)[/tex]

Expand the brackets:

[tex]\implies 5y+10=-3x+12[/tex]

Add 3x to both sides:

[tex]\implies 5y+10+3x=-3x+12+3x[/tex]

[tex]\implies 3x+5y+10=12[/tex]

Subtract 10 from both sides:

[tex]\implies 3x+5y+10-10=12-10[/tex]

[tex]\implies 3x+5y=2[/tex]

Answer:

1/3^3

Step-by-step explanation:

The answer is 1/3^3 or 1/27 because 3^2 is 9 and 3^-5 is 1/243. This results in the equation 9 x 1/243. When simplified you get 1/3^3 or 1/27.

Answer:

[tex]\huge\boxed{\sf 25\ ml}[/tex]

Step-by-step explanation:

Total amount of water = 500 ml

Mary drank = 400 ml

Left:

= 500 ml - 400 ml

= 100 ml

This was divided equally among 4 friends.

So,

Each friend got:

= 100 ml/4

= 25 ml

[tex]\rule[225]{225}{2}[/tex]

Answer:

Answer:

0.00998 Inches

Step-by-step explanation:

Thickness of the light bulb filament = 0.01 Inch

Allowable error = 2%.

2% of 0.01 = 0.02 X 0.01 =0.0002 Inch

Therefore, the allowable thickness of the bulb filament

We can then calculate the least allowable thickness of the filament as:

The least allowable thickness of the filament is 0.00998 Inches.

Answer:

C. 0.0098

Explanation:

one-hundredth of an inch: 1/100 ≈ 0.01 (inch)

Upper-bound (maximum error):

= 0.01 × (100% + 2%)

= 0.01 × 102%

= 0.0102 inches

Lower-bound (minimum error):

= 0.01 × (100% - 2%)

= 0.01 × 98%

= 0.0098 inches

Hence, the greatest allowable thickness of filament is 0.0102 inches and mostly the least allowable thickness is 0.0098 inches, which is the answer.

Using exponential functions, the ending balances are given as follows:

1. $1,490.07.

2. $1,073.83.

3. $358.04.

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

Item a:

The parameters are:

A(0) = 939, r = 0.08, t = 6.

Hence the balance is:

[tex]A(6) = 939(1.08)^6 = 1490.07[/tex]

Item b:

The parameters are:

A(0) = 823, r = 0.03, t = 9.

Hence the balance is:

[tex]A(9) = 823(1.03)^9 = 1073.83[/tex]

Item c:

The parameters are:

A(0) = 269, r = 0.1, t = 3.

Hence the balance is:

[tex]A(9) = 269(1.1)^3 = 358.04[/tex]

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Answer:

2

1

0

Not:

4

9

1921131

Step-by-step explanation:

x needs to be equal or less than 3. It doesn't say that x cannot be negative so any number 3 and below is fine.

Not solutions would be any number above 3 in value

The three solutions for the inequality are 1, 2, and 3.

And, the three numbers that are not solutions are 4, 5, and 6.

Used the concept of inequality that states,

A relation by which we can compare two or more mathematical expressions is called an inequality.

Given that,

The inequality is,

x ≤ 3

Now from the given inequality x ≤ 3,

The solution of the inequality is a number that is less or equal to 3.

Hence the possible three solutions for the inequality are,

x = 1, 2, 3

And, the three numbers that are not solutions are,

4, 5, and 6.

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Answer:

Step-by-step explanation:

the original price would be $80.00

50.00*0.08 = 4 50.00-4 = 46.00

46.00 for 25 radios with 4 cash back

30.00*0.15= 4.5 30.00- 4.5 = 25.50

total is 71.50

Answer: 300 pages are left to read.

Step-by-step explanation: There are 300 pages left to read, as 1/4 of 400 is 100. So far, Jane has read 100 pages.

I hope this helps!!

Answer: 300 pages

Step-by-step explanation: 1/4 of 400 is 100. 400-100=300. Thus, we arrive at our answer.

[tex]sample \: space = 52 \: cards \\ spades = 13 \: cards \\ number \: 4s = 4 \: cards \\ diamonds = 13 \: cards \\ note \: that = \\ there \: is \: replacement \\ order \: does \: matter[/tex]

[tex]P( \gamma ) = \frac{13}{52} \times \frac{4}{52} \times \frac{13}{52} = \frac{1}{208} [/tex]

Answer:

Letter c

Step-by-step explanation:

You are distributing the 7 to each term in the parentheses.  

7(8x) is 56 x

Here is the tricky part.  You can think of it a couple of ways:

7(-4y) = -28y  a positive times a negative is a negative.

or 7(4y) = 28 , but then remember that you are subtracting so it will become  -28

7(6) = 56

56x - 28y +42

Answer:

c.) 7(8x - 4y + 6)

Step-by-step explanation:

if we solve 7(8x-4y+6), we get;

56x-28y+42

Answer:

1105.8 in³

Step-by-step explanation:

The surface area is the circumference of the base times the height:

A = 2πrh, which, in this problem, works out to:

A = 2π(4 in)²(11 in) ≈ 1105.8 in³

Answer:

The answer will be 1105.8 in³sq inches.

Step-by-step explanation:

You multiply 4x11 which is the diameter of 44. The the radius with it will be 22. To get the surface, you multiply it= 1105.8 in³

Please mark me brainliest!

Answer:

b

Step-by-step explanation:

We have proven that ΔACO ≅ ΔBDO using the SAS (Side-angle-side) theorem

From the question, we are to prove that ΔACO ≅ ΔBDO

From one of the congruent triangles theorem, we have that

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

This is the SAS (Side-angle-side) theorem.

From the given information,

AB and CD intersect at point O

Thus, AO = BO

Also,

∠ACO ≅ ∠BDO

In the diagram, we can as well observe that CO ≅ DO

Thus, we can conclude that AC ≅ BD

Since sides AC, CO and the included angle ACO are congruent to sides BD, DO and the included angle BDO, we can conclude that ΔACO ≅ ΔBDO using the SAS theorem.

Hence, we have proven that ΔACO ≅ ΔBDO

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Answer:

7.5

Step-by-step explanation:

You divide 17.9 by 2.38. That would give you 7.521008403361345.

Rounding to the nearest tenth would mean to round till you have a number right after the decimal point. When you round, you would get 7.5 since 2 isn’t enough to change the five to a six.

Hope that helps!! Have an amazing day!!

Answer:

slope:

5 - 5 / 2 - (-1) = 0

Thus, the equation of the line is y = 5

Answer:

38 degrees

Step-by-step explanation:

Since angles KLO and OLM are supplementary, they add up to 180 degrees

So,  angle OLM is 180-134=46 degrees

Similarly, angles OMN and OML are supplementary, so they also add up to 180 degrees

So, angle OML is 180-84=96 degrees

You also know that the angles of a triangle sum up to 180 degrees

So, 46+96+x=180

180-142=38

x=38 degrees

Answer:

I assumed that you made a mostake and meant:

On a electricity bill of $38.76, mrs.miller pays only $14.80 because she pays a certain date. what percent discount is mrs.miller allowed?

62% approx

Step-by-step explanation:

$38.76 - $14.80 = $23.96

23.96/38.76 = 61.8%

Mrs. Miller is allowed a discount of approximately 5% on her electricity bill.

To calculate the percent discount that Mrs. Miller is allowed on her electricity bill, we can use the following formula:

Percent discount = (Discount amount / Original amount) * 100

In this case, the original amount of the bill is $40.80, and Mrs. Miller pays only $38.76, which means she receives a discount of $40.80 - $38.76 = $2.04.

Now, let's calculate the percent discount:

Percent discount = ($2.04 / $40.80) * 100 ≈ 5%

The discount is given as a percentage of the original bill amount and represents the amount saved by Mrs. Miller due to paying on a certain date or any other special offer provided by the electricity company. By paying $38.76 instead of $40.80, she saves $2.04, which is 5% of the original bill.

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Using it's concept, there is a 0.6667 = 66.67% probability of getting a total of 13 or more.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

From the tree diagram, there are 9 outcomes, of which 6 result in a total(first node + second node) of 13 or more, hence the probability is:

p = 6/9 = 0.6667.

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Answer:

Step-by-step explanation:

the answer is

$194 (start) / 100 (100%) = $1.94 (1%)

$1.94 * 7 = $13.58 (7%)

$13.58 * 13 (13 years) = $176.54

$194 (start) + $176.54 (interest) = $370.54

the interest on $194 at 7% interest rate for 13 years is approximately $176.54.

To find the interest on $194 at an annual interest rate of 7% for 13 years, we can use the formula for simple interest:

Interest = Principal * Rate * Time

Where:

Principal = $194 (initial amount)

Rate = 7% (convert to decimal: 7% = 0.07)

Time = 13 years

Now, plug in the values:

Interest = $194 * 0.07 * 13

Calculate the interest:

Interest = $194 * 0.91

Interest ≈ $176.54

So, the interest on $194 at 7% interest rate for 13 years is approximately $176.54.

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Answer:

As the shape forms a rectangle and line segment AB and line segment CD are parallel, you can tell that length of both line segments/sides are equal.

Step-by-step explanation:

Since the answer itself requires an explanation, I added the explanation in the answer area.

Hope that helps! Have a great day!

Answer:

11/6 or 1 5/6yards

Step-by-step explanation:

Area = Length x Width

2 3/4 = 1 1/2 w

11/4 = 3/2w  to change 2 3/4  into an improper fraction see this as 2 wholes plus 3/4.  Another name for 2 wholes is 8/4 then add the 3/4.  8/4 + 3/4 is 11/4.

Do the same for 1 1/2 which is 1 + 1/2 change 1 into 2/2 and add it to 1/2 which would be 3/2.

Now solve for x

(2/3) (11/4) = (3/2) (2/3) w  when I multiply 3/2 by its reciprocal of 2/3, I get the number 1 and 1 times w is just w.

22/12 =w.  I just multiplies the tops with the bottoms.  Now, divide the top and the bottom by 2 and you end up with 11/6.  If I divide 11 by 6, it will go into 11 one time with 5 left over.  The denominator remains 6.

Answer:

Step-by-step explanation:

The area A of a rectangle of length L and width W is A = L*W.  Solving this for W, we get A/L.

Substituting 2 3/4 yd^2 for A and 1 1/2 yd for L, we get:

W = (2 3/4 yd)^2 / (1 1/2 yd)

This is equivalent to (11/4 yd^2 divided by (6/4 yd), or 11/6 yd.

The width of this garden is 11/6 yard, or 1 5/6 yard.

Answer:

12 1/2% DISCOUNT:

Step-by-step explanation:

Jacket: $60.81

Tie: $13.56

Raincoat: $65.93

Answer:

The answer to your question is 3.5 m

Step-by-step explanation:

1 m= 100 cms

so 350 cms  = 3.5 m

I hope this helps and have a good day!

Answer:

0.8

Step-by-step explanation:

The tax is calculated as the total price of the object multiplied by the amount of sales tax.

Answer:

lineHO parallel lineEN - Given

lineHW = lineNW - Given

angle HWO congruent angle EWN Vertical Angles

angle OHW congruent angle ENW Alternate interior angles

Thus triangle HOW congruent triangle NEW

[wouldn't let me use symbols sorry]